Ratio & Root Tests, Calculus 2

Calculus 2 tutorial on the ratio and the root tests for the convergence of a series.
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[@02_aldebaranrahmanadhitya95]

Timestanps:
Question 1: 0:01
Question 2: 3:49
Question 3: 6:46
Question 4: 9:04
Question 5: 11:49
Question 6: 13:56
Question 7: 16:24
Question 8: 20:22

[@bprpcalculusbasics]

thank you!

[@griffinf8469]

Can you do videos on proving why the Ratio and Root tests work as well as why the direct comparison and limit comparison tests work? It’s all fine and dandy to say that if the result of the root test is less than 1, then the original series converges, but how do we know/prove that? Who came up with these tests and why do they work?

[@brucefrizzell4221]

This is very helpful. Thank you !

[@irhzuf]

I don't know if you're reading this, but I made 30 timestamps to your 100 series video. I commented under the timestamp comment. Please update!
Either way always good practice watching your videos so thank you!

[@user-if1wi1de4g]

How can we find the value that they converge to?

[@xinpingdonohoe3978]

Whenever I see the convergent ones, I always get curious about what they converge to. Most probably won't have closed forms with our current knowledge, but some might.

[@J-M784]

3:48 Why can’t we just do ‘RaT’ for ‘Ratio Test’ and ‘RoT’ for ‘Root Test’?

[@xinpingdonohoe3978]

Because the corresponding words "rat" and "rot" both have negative, gloomy connotations.

[@General12th]

@@xinpingdonohoe3978 What are you talking about? Ratrot is my favorite plague in CK3!

[@RobertStander-xo2gu]

First to comment

[@brucefrizzell4221]

This is very helpful. Thank you !